48.33/13.17	NO
48.52/13.20	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
48.52/13.20	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
48.52/13.20	
48.52/13.20	
48.52/13.20	Termination w.r.t. Q of the given QTRS could be disproven:
48.52/13.20	
48.52/13.20	(0) QTRS
48.52/13.20	(1) NonTerminationProof [COMPLETE, 2941 ms]
48.52/13.20	(2) NO
48.52/13.20	
48.52/13.20	
48.52/13.20	----------------------------------------
48.52/13.20	
48.52/13.20	(0)
48.52/13.20	Obligation:
48.52/13.20	Q restricted rewrite system:
48.52/13.20	The TRS R consists of the following rules:
48.52/13.20	
48.52/13.20	   a(a(b(x1))) -> b(b(c(a(a(x1)))))
48.52/13.20	   a(c(x1)) -> a(a(x1))
48.52/13.20	
48.52/13.20	Q is empty.
48.52/13.20	
48.52/13.20	----------------------------------------
48.52/13.20	
48.52/13.20	(1) NonTerminationProof (COMPLETE)
48.52/13.20	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
48.52/13.20	
48.52/13.20	Found the self-embedding DerivationStructure: 
48.52/13.20	"a a b c a b b c b b -> b b c b b c b b c a b b c a a b c a b b c b b c a a"
48.52/13.20	a a b c a b b c b b -> b b c b b c b b c a b b c a a b c a b b c b b c a a
48.52/13.20	by OverlapClosure OC 2"a a b c a b b -> b b c b b c b b c a b b c a a b c a a
48.52/13.20	by OverlapClosure OC 3"a a b c a b b -> b b c b b c b b c a a c b b c a a
48.52/13.20	by OverlapClosure OC 2"a a b c a b -> b b c b b c b b c a a c a a
48.52/13.20	by OverlapClosure OC 3"a a b c a b -> b b c b b c a a b c a a
48.52/13.20	by OverlapClosure OC 3"a a b c a b -> b b c a a b b c a a
48.52/13.20	by OverlapClosure OC 2"a a b -> b b c a a
48.52/13.20	by original rule (OC 1)""a c a b -> a b b c a a
48.52/13.20	by OverlapClosure OC 2"a c -> a a
48.52/13.20	by original rule (OC 1)""a a b -> b b c a a
48.52/13.20	by original rule (OC 1)""""a a b -> b b c a a
48.52/13.20	by original rule (OC 1)"""a a b -> b b c a a
48.52/13.20	by original rule (OC 1)"""a a b -> b b c a a
48.52/13.20	by original rule (OC 1)"""a c b -> b b c a a
48.52/13.20	by OverlapClosure OC 2"a c -> a a
48.52/13.20	by original rule (OC 1)""a a b -> b b c a a
48.52/13.20	by original rule (OC 1)""""a c b b -> b b c b b c a a
48.52/13.20	by OverlapClosure OC 2"a c -> a a
48.52/13.20	by original rule (OC 1)""a a b b -> b b c b b c a a
48.52/13.20	by OverlapClosure OC 2"a a b -> b b c a a
48.52/13.20	by original rule (OC 1)""a a b -> b b c a a
48.52/13.20	by original rule (OC 1)"""
48.52/13.20	
48.52/13.20	----------------------------------------
48.52/13.20	
48.52/13.20	(2)
48.52/13.20	NO
48.63/13.25	EOF